Miners' demands are analogous to the profit. It really doesn't hold water for a pool manager to not want profit, so he sort of follows what miners want as well.

Because he can't. There is no manner to prevent Ordinals without forking yourself off the Bitcoin network, and setting up a censorship resilient copy. You can however prevent them from entering your mempool, which can already be done with a few filters on Core. That is acceptable, but it's not prevention. Ordinal users can still broadcast them to miners, and at that point it would only make your node's fee rates be inaccurate.